Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.3 Product and Quotient Rules - Exercises - Page 123: 55


$$(f^2)' =2ff'$$

Work Step by Step

Rewrite $f^2$ as $ff$, so \begin{align*} (f^2)'&=(ff)'\\ &= ff'+f'f\\ &=2ff' \end{align*}
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